Modeling Unknown Stochastic Dynamical System via Autoencoder
Speaker: Zhongshu Xu (OSU) Dates: 2024/10/03 Location: MW 154 Abstract: This talk presents a novel data-driven method for modeling unknown stochastic dynamical systems using autoencoders. The approach focuses on learning the flow map of an underlying system by identifying unobserved…
The Impact of Multiscale Dataset and a Multi-Rate Gradient Descent Approach
Speaker: Liangchen Liu (UT Austin) Dates: 2024/10/24 Location: MW 154 Abstract: Data embedded in high-dimensional spaces often follows intrinsic low-dimensional structures, but assuming a consistent scale across all directions may be too idealized. Indeed, empirical observations suggest that data distributions tend…
Frenet immersed finite element methods for interface problems: Design, analysis and future directions
Speaker: Haroun Meghaichi (OSU) Dates: 2024/08/29 Location: MW 154 Abstract: In this talk, I will go over a brief survey of unfitted methods for interface problems with an emphasis on the immersed finite element method. Next, I will describe a…